Answer:
Cos θ = √7/3
Step-by-step explanation:
From the question given above, the following data were obtained:
Sine θ = √2 / 3
Cos θ =?
Recall
Sine θ = Opposite / Hypothenus
Sine θ = √2 / 3
Thus,
Opposite = √2
Hypothenus = 3
Next, we shall determine the Adjacent. This can be obtained as follow:
Opposite = √2
Hypothenus = 3
Adjacent =?
Hypo² = Adj² + Opp²
3² = Adj² + (√2)²
9 = Adj² + 2
Collect like terms
9 – 2 = Adj²
7 = Adj²
Take the square root of both side
Adjacent = √7
Finally, we shall determine the value Cos θ. This can be obtained as follow:
Adjacent = √7
Hypothenus = 3
Cos θ =?
Cos θ = Adjacent / Hypothenus
Cos θ = √7/3
Option C is correct or y=3/4x-5. Use the given functions to set up and simplify y=mx+b
to find the equation.
Answer:
the number of siblings for each of student that Angela selected
Step-by-step explanation:
The data that you are interested is the number of siblings for each student in Angela´s school, so the data is centered in the number of siblings for the 200 randomly selected students.
Its like Angela will survey each student and ask for the number of siblings and she will record the answer of her companions of school.
Answer:
242, 900 people
Step-by-step explanation:
To begin, it says that the population grew by 5%.
(241000)(1.00 + 0.05) = <em>population of the city in 2015</em>
(241000)(1.05) = 253050
253050 is the population of the city in 2015. From 2015 to 2020 it fell four percent.
(253050)(1.00 - 0.04) = <em>population of the city in 2020</em>
(253050)(0.96) = 242928
242928 is the exact population of the city. However, it says to round to the nearest hundred. Since 28 is less than 50, then it would round down to 900.
Therefore, the answer would be 242, 900 people.
